The above limit equals 1 / 2 . But the limit is very difficult to handle.

Consider the numerator (ignoring the minus sign outside the fraction). Notice that the terms in and vanish so the highest power of is . Its coefficient is . Now look at the denominator. The highest power of is also and its coefficient is . Hence the limit as is

using the following rule:

If

and

and then

]]>http://www.mathisfunforum.com/profile.php?id=502822013-01-07T00:51:08Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247848#p247848Why do you think this is a job for Stoltz then?]]>http://www.mathisfunforum.com/profile.php?id=337902013-01-07T00:42:20Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247847#p247847It wasn't hard.

I don't think ot would get much prettier...

]]>http://www.mathisfunforum.com/profile.php?id=1187862013-01-07T00:12:44Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247846#p247846You got that far! How the heck did you get there?

Maybe we can use Stolz again?

]]>http://www.mathisfunforum.com/profile.php?id=337902013-01-07T00:04:05Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247845#p247845I already got that much. That limit there is the problem...]]>http://www.mathisfunforum.com/profile.php?id=1187862013-01-06T23:58:08Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247844#p247844I am trying to put it into the required form but the algebra is hideous.

The above limit equals 1 / 2 . But the limit is very difficult to handle.

]]>http://www.mathisfunforum.com/profile.php?id=337902013-01-06T23:14:58Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247843#p247843That is right.]]>http://www.mathisfunforum.com/profile.php?id=1187862013-01-06T23:07:31Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247842#p247842We are not allowed to split that limit?

Probably not, the two pieces are both equal to infinity.

]]>http://www.mathisfunforum.com/profile.php?id=337902013-01-06T22:57:02Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247841#p247841Do you see the n/(p+1) part? It makes it not possible to use Stolz like that.]]>http://www.mathisfunforum.com/profile.php?id=1187862013-01-06T22:54:32Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247840#p247840

We need to use the binomial theorem here now.

]]>http://www.mathisfunforum.com/profile.php?id=337902013-01-06T22:51:59Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247839#p247839No. I already looked at that page. It just gets the limit to the indeterminate from 0*infinity...]]>http://www.mathisfunforum.com/profile.php?id=1187862013-01-06T22:25:07Zhttp://www.mathisfunforum.com/viewtopic.php?pid=247838#p247838Hi;